Changjin Xu, Maoxin Liao
Abstract:
This article concerns Lienard-type systems with time-varying delays.
By applying the theory of exponential dichotomies, the properties of
pseudo almost periodic function, inequality analysis techniques, and
contraction mapping principle, new criteria for the existence
and uniqueness of pseudo almost periodic solutions are established.
An example is given to illustrate the theoretical findings.
Submitted February 2, 2015. Published July 4, 2016.
Math Subject Classifications: 34C25, 34K13, 34K25.
Key Words: Lienard-type system; pseudo almost periodic solution;
exponential dichotomy; time-varying delay;
contraction mapping principle.
Show me the PDF file (198 KB), TEX file for this article.
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Changjin Xu Guizhou Key Laboratory of Economics System Simulation Guizhou University of Finance and Economics Guiyang 550004, China email: xcj403@126.com |
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Maoxin Liao School of Mathematics and Physics University of South China Hengyang 421001, China email: maoxinliao@163.com |
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